2012/09/08 by Kollár, János · 1 citation
#14E15 secondary: 14F35 #14J17 #32S45 #32V15 #57M05 #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics #primary: 32S05
paper · doi:10.48550/arxiv.1209.1754
This is a part survey part research paper studying the local topology of complex analytic spaces. We review and strengthen the results of Kapovich--Kollár "Fundamental groups of links of isolated singularities" (1109.4047) and incorporate the paper "Dual graphs of exceptional divisors" (1203.2640) into the current one. A new result is the characterization of the fundamental group of links of Cohen-Macaulay singularities. The last section lists numerous open problems and conjectures. Version 2: Questions 62--65 revised following comments of Shaneson and Maxim. Version 3: Many small changes, especially in section about Questions and Problems.